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Rotational quantum mechanics in hyperspherical coordinates

  • Physics of Elementary Particles and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

We present a new class of quantum-mechanical problems involving the rotation of a top in a spherically symmetric torque field. The eigenvalue problem is studied for the hyperspherical rotational oscillator. We introduce a new four-dimensional parity quantum number referring to integral spin values of the excited states of a spherical top.

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Authors and Affiliations

  1. T. G. Shevchenko Kiev State University, USSR

    A. A. Pasichnyi

Authors
  1. A. A. Pasichnyi
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 3–7, January, 1984.

The author acknowledges useful discussions with Prof. A. G. Sitenko and with I. V. Simenog.

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Pasichnyi, A.A. Rotational quantum mechanics in hyperspherical coordinates. Soviet Physics Journal 27, 1–4 (1984). https://doi.org/10.1007/BF00896398

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  • DOI: https://doi.org/10.1007/BF00896398

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